Why is the sum of all real numbers not equal to zero?

Let me guess: you're going to partition [math]\R[/math] into pairs [math]\{x,-x\}[/math], with [math]\{0\}[/math] left over, and since the sum over each of those parts is 0, the total sum must b…

Top stories for Long   Why is the sum of all real numbers not equal to zero? Alex Eustis, Ph.D. Mathematics, University of California, San Diego (2013) • Answered May 31 Let me guess: you're going to partition [math]\R[/math] into pairs [math]\{x,-x\}[/math], with [math]\{0\}[/math] left over, and since the sum over each of those parts is 0, the total sum must be 0 as well. Brilliant! I love it... Read more » 168 7   Your response is private Was this worth your time? This helps us show content you find valuable. Absolutely not Definitely yes   Trump said in 2011: "Obama was a terrible student and he shouldn't have been able to get into the schools he did". He also said "I heard he was a terrible student — terrible. How does a bad student go to Columbia and then to Harvard?" Is he right? Anne Whitacre • Answered August 23 Neither president has published their transcripts, which is really no one's business anyway. But there are three public notices that give hints. One: Trump's graduation clas... Read more » 5.3K 687   Why does James Bond ask for shaken, not stirred? Matt Straker, lives in The United Kingdom (1969-present) • Updated 13h ago Fleming does actually give an in universe reason for this. Bond dines with M at Ms club. He asks for a martini shaken, not stirred. M is, rightly, horrified at this. Bond exp... Read more » 772 82   Can eating excessive amounts of fruit lead to diabetes or high blood sugar levels for those who are pre-diabetic? Glenda Carswell, former RN Worked With Mentally Challenged Adults. • Answered September 12 I was diagnosed with type 2 diabetes Nov. of 2024. The first problem I encountered was with fruits.One morning for breakfast I had a bowl of nonfat plain yogurt. I started ... Read more » 228 17   What statistic was still missing? Luise, worked at Own Business • Answered January 10, 2023 This is the world map of bra sizes. And it's really incredible. Russian, Swedish, Finnish and Norwegian women have on average more than a D-cup. In the case of Russian women, ... Read more » 851 87   What made the Cray-1 such a big deal back in the 70s, and how does it stack up against today's mobile processors? John Maria, former Engineering Consultant at Hewlett-Packard • Updated August 21 The Cray-1 used ECL or emitter coupled logic semiconductors clocked at 80MHz at a time when the conventional systems such as the VAX 11/780 operated at 5MHz. As others have... Read more » 1.6K 126   Katie Holmes • Posted Mar 23 A couple of days ago, I saw scratches on my husband's back. When I asked about them, he said he didn't have a clue how they got there, but suggested maybe he did it himself. I asked him to reach to... Read more » 2.7K 1.6K   Is there an AI bubble now? Mithur Sheridan, Spanish Public Servant (2001-present) • Answered August 29 Fuck, yeah. I currently work optimizing processes for procurement. Which should be the perfect use case for AI as it stands today. LLM + Transformers technology it's 8 years ... Read more » 787 96   Is the US winning the tariff war? Sam Robbins, A keen socio-political observer • Updated September 19 I have a confession to make. When Trump announced that he was going to (trade) war with his northern neighbour, he spoke about the iniquities of the horrible trade deal that... Read more » 3.5K 394   Would a submarine at 700 feet below sea level feel anything if a nuclear bomb was detonated close by? Kenneth Reese, dad, nurse, vetern • Answered March 17, 2017 In 1955 the US government decided to answer this very question and conducted the Wigwam test shot to gather facts on the effect of underwater nuclear blasts. A single Mk.90 ... Read more » 1.9K 100   What is the sixth root of 729? Lucas Curtis, lover of numbers • Answered August 12 What is [math]\sqrt[6]{729}[/math]? We could easily turn to a calculator, but let's see if we can be clever about this. Let's look at the prime factorization. [math]729[/math] obviously isn't divisible by [math]2[/math], but i... Read more » 42 9   Why is Trump acting so weird lately? Bruce Spielbauer • Updated September 5 Donald Trump is in a panic… right now. Over two things: 1- The "Big Ugly Bill," which will destroy this nation. It is so unpopular, that 74% of all Americans hate it — That m... Read more » 8.7K 3 Read more in your feed

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